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It is given that O is the centre of a circle and ∠BOD =150°
We know that
Reflex ∠BOD = (360° – ∠BOD)
By substituting the values
Reflex ∠BOD = (360° – 150°)
By subtraction
Reflex ∠BOD = 210°
Consider x = ½ (reflex ∠BOD)
By substituting the value
x = 210/2
So we get
x = 105°
We know that
x + y = 180°
By substituting the values
105° + y = 180°
On further calculation
y = 180° – 105°
By subtraction
y = 75°
Therefore, the value of x is 105° and y is 75°.
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